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Mixture and Alligation Worksheet

Quantitative aptitude lesson 23: Mixtures and alligation · Set 137 · 40 questions
TalentJR

The method (Alligation cross): Alligation: cheaper : dearer = (dearer price − mix price) : (mix price − cheaper price). Mix price = total cost ÷ total quantity. Adding water: the milk stays the same — use it to find the new water. Percent in a mix = amount of that thing ÷ total × 100.

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  1. 1.A jug has 20 litres of a drink that is 20% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  2. 2.Rice at ₹69 per kg is mixed with rice at ₹97 per kg to make a mix worth ₹89 per kg. How many kg of the cheaper rice must be mixed with 30 kg of the dearer rice?
  3. 3.A 30-litre mix has milk and water in the ratio 2 : 1. How many litres of water must be added to make the ratio 2 : 3?
  4. 4.Rice at ₹27 per kg is mixed with rice at ₹52 per kg to make a mix worth ₹42 per kg. How many kg of the cheaper rice must be mixed with 18 kg of the dearer rice?
  5. 5.Rice at ₹64 per kg is mixed with rice at ₹88 per kg to make a mix worth ₹70 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  6. 6.Rice at ₹24 per kg is mixed with rice at ₹72 per kg to make a mix worth ₹32 per kg. How many kg of the cheaper rice must be mixed with 4 kg of the dearer rice?
  7. 7.A grocer mixes 10 kg of tea at ₹60 per kg with 2 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  8. 8.Rice at ₹56 per kg is mixed with rice at ₹62 per kg to make a mix worth ₹60 per kg. How many kg of the cheaper rice must be mixed with 2 kg of the dearer rice?
  9. 9.A grocer mixes 3 kg of tea at ₹48 per kg with 6 kg of tea at ₹120 per kg. What is the price of the mix per kg (in ₹)?
  10. 10.A jug has 20 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  11. 11.A 18-litre mix has milk and water in the ratio 5 : 4. How many litres of water must be added to make the ratio 5 : 7?
  12. 12.A 56-litre mix has milk and water in the ratio 5 : 2. How many litres of water must be added to make the ratio 5 : 6?
  13. 13.A jug has 20 litres of a drink that is 50% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  14. 14.A jug has 10 litres of a drink that is 10% mango juice. 8 litres of pure mango juice are added. What percent of the drink is mango juice now?
  15. 15.A grocer mixes 2 kg of tea at ₹26 per kg with 3 kg of tea at ₹81 per kg. What is the price of the mix per kg (in ₹)?
  16. 16.A jug has 20 litres of a drink that is 20% mango juice. 20 litres of pure mango juice are added. What percent of the drink is mango juice now?
  17. 17.Rice at ₹59 per kg is mixed with rice at ₹73 per kg to make a mix worth ₹67 per kg. How many kg of the cheaper rice must be mixed with 24 kg of the dearer rice?
  18. 18.A grocer mixes 10 kg of tea at ₹38 per kg with 8 kg of tea at ₹74 per kg. What is the price of the mix per kg (in ₹)?
  19. 19.A grocer mixes 3 kg of tea at ₹73 per kg with 10 kg of tea at ₹60 per kg. What is the price of the mix per kg (in ₹)?
  20. 20.A grocer mixes 4 kg of tea at ₹58 per kg with 6 kg of tea at ₹98 per kg. What is the price of the mix per kg (in ₹)?
  21. 21.A grocer mixes 4 kg of tea at ₹33 per kg with 4 kg of tea at ₹79 per kg. What is the price of the mix per kg (in ₹)?
  22. 22.A jug has 50 litres of a drink that is 10% mango juice. 10 litres of pure mango juice are added. What percent of the drink is mango juice now?
  23. 23.A jug has 10 litres of a drink that is 40% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  24. 24.A 56-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  25. 25.A 33-litre mix has milk and water in the ratio 4 : 7. How many litres of water must be added to make the ratio 4 : 11?
  26. 26.Rice at ₹65 per kg is mixed with rice at ₹100 per kg to make a mix worth ₹72 per kg. How many kg of the cheaper rice must be mixed with 7 kg of the dearer rice?
  27. 27.A grocer mixes 6 kg of tea at ₹95 per kg with 10 kg of tea at ₹87 per kg. What is the price of the mix per kg (in ₹)?
  28. 28.A 10-litre mix has milk and water in the ratio 3 : 2. How many litres of water must be added to make the ratio 1 : 1?
  29. 29.Rice at ₹73 per kg is mixed with rice at ₹81 per kg to make a mix worth ₹79 per kg. How many kg of the cheaper rice must be mixed with 21 kg of the dearer rice?
  30. 30.A grocer mixes 12 kg of tea at ₹32 per kg with 8 kg of tea at ₹72 per kg. What is the price of the mix per kg (in ₹)?
  31. 31.A 66-litre mix has milk and water in the ratio 6 : 5. How many litres of water must be added to make the ratio 3 : 4?
  32. 32.A 72-litre mix has milk and water in the ratio 5 : 3. How many litres of water must be added to make the ratio 5 : 6?
  33. 33.A 18-litre mix has milk and water in the ratio 1 : 2. How many litres of water must be added to make the ratio 1 : 6?
  34. 34.Rice at ₹52 per kg is mixed with rice at ₹108 per kg to make a mix worth ₹100 per kg. How many kg of the cheaper rice must be mixed with 48 kg of the dearer rice?
  35. 35.A 50-litre mix has milk and water in the ratio 7 : 3. How many litres of water must be added to make the ratio 7 : 4?
  36. 36.A jug has 10 litres of a drink that is 10% mango juice. 5 litres of pure mango juice are added. What percent of the drink is mango juice now?
  37. 37.A grocer mixes 12 kg of tea at ₹86 per kg with 8 kg of tea at ₹26 per kg. What is the price of the mix per kg (in ₹)?
  38. 38.A grocer mixes 2 kg of tea at ₹119 per kg with 12 kg of tea at ₹56 per kg. What is the price of the mix per kg (in ₹)?
  39. 39.A 20-litre mix has milk and water in the ratio 4 : 1. How many litres of water must be added to make the ratio 2 : 1?
  40. 40.A jug has 10 litres of a drink that is 20% mango juice. 6 litres of pure mango juice are added. What percent of the drink is mango juice now?

Answer key

  1. 36
  2. 12
  3. 20
  4. 12
  5. 6
  6. 20
  7. 70
  8. 1
  9. 96
  10. 28
  11. 6
  12. 32
  13. 75
  14. 50
  15. 59
  16. 60
  17. 18
  18. 54
  19. 63
  20. 82
  21. 56
  22. 25
  23. 60
  24. 21
  25. 12
  26. 28
  27. 90
  28. 2
  29. 7
  30. 48
  31. 18
  32. 27
  33. 24
  34. 8
  35. 5
  36. 40
  37. 62
  38. 65
  39. 4
  40. 50

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